need help with this question please!!

Question

an architect is designing a building. the scale drawing on the plan of the building is 1 cm : 50 cm. what are the actual dimensions of the building if the scale dimensions are 8 cm x 12 cm?

Answer 1

This is a proportional relationship. 1:50 is the relationship. Let's set up a proportion to solve:

1 = 8

50 x

This proportion is set up to show the 1:50 relationship on the left and 8:x on the right. We must cross multiply and solve for x to get the first dimension.

1x = 8(50)

x = 400 cm

Do the same for 12.

1 = 12

50 x

1x = 600

x = 600 cm

Dimensions: 400 cm by 600 cm